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Finding the Third Proportional to 21,934.13 and 32,415.19

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Solution

The third proportional to 21,934.13 and 32,415.19 is: 47,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.13 : 32,415.19 = 32,415.19 : x
  2. Step 2: Convert to fraction form
    21,934.13/32,415.19 = 32,415.19/x
  3. Step 3: Cross multiply
    21,934.13x = 32,415.19 × 32,415.19
  4. Step 4: Simplify right side
    21,934.13x = 1,050,744,380.66
  5. Step 5: Solve for x
    x = 1,050,744,380.66/21,934.13
  6. Step 6: Final answer
    x = 47,904.55

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.